Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.6s (30.7%)

Results

755.0ms	1628×	body	1024	valid
591.0ms	5499×	body	128	valid
184.0ms	753×	body	512	valid
65.0ms	375×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

series15.0ms (0.3%)

Counts

1 → 8

Calls

1 calls:

15.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
601×	`cancel-sign-sub-inv_binary64`
423×	`unswap-sqr_binary64`
355×	`distribute-rgt-neg-in_binary64`
283×	`*-commutative_binary64`

Counts

28 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	408
1	185	370
2	527	349
3	1418	335
4	2537	333
5	4402	333
6	4955	333

prune28.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	3	45

Error

Counts

45 → 3

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
	0.1b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
	0.8b	(.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

Compiler

Compiled 601 to 227 computations (62.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 re))
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	0.0b	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))

series23.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

10.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
2.0ms	(sqrt.f64 (exp.f64 re))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64`
10×	`sqrt-prod_binary64`
10×	`*-un-lft-identity_binary64`

Counts

3 → 65

Calls

3 calls:

7.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
5.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
1.0ms	(sqrt.f64 (exp.f64 re))

simplify114.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

993×	`fma-neg_binary64`
487×	`fma-def_binary64`
379×	`cancel-sign-sub-inv_binary64`
348×	`distribute-rgt-neg-in_binary64`
324×	`*-commutative_binary64`

Counts

101 → 125

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1314
1	341	1214
2	1023	1155
3	2033	1121
4	3492	1113
5	4617	1113
6	4936	1113
7	4892	1113

prune126.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	153	3	156

Error

Counts

156 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
▶	0.1b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
	0.8b	(.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

Compiler

Compiled 2431 to 736 computations (69.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im))
✓	0.0b	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
✓	0.0b	(cbrt.f64 (exp.f64 re))
✓	0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))

series775.0ms (14.6%)

Counts

4 → 72

Calls

4 calls:

331.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im))
244.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
191.0ms	(cbrt.f64 (exp.f64 re))
8.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
23×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
5.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
4.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im))
2.0ms	(cbrt.f64 (exp.f64 re))

simplify124.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def_binary64`
481×	`*-commutative_binary64`
456×	`fma-neg_binary64`
378×	`cancel-sign-sub-inv_binary64`
253×	`distribute-rgt-in_binary64`

Counts

175 → 187

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	170	2286
1	410	2058
2	1289	1888
3	2753	1776
4	4609	1752
5	4963	1752
6	4917	1752

prune157.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	239	3	242

Error

Counts

242 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	0.1b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
▶	0.8b	(.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

Compiler

Compiled 4548 to 1154 computations (74.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.3b	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.3b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series1.3s (24.5%)

Counts

3 → 72

Calls

3 calls:

841.0ms

(*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

449.0ms

(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

9.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

8.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

4.0ms

(*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

2.0ms

(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

simplify104.0ms (2%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
563×	`fma-neg_binary64`
547×	`cancel-sign-sub-inv_binary64`
445×	`*-commutative_binary64`
303×	`unswap-sqr_binary64`

Counts

151 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2551
1	449	2179
2	1424	1848
3	3235	1755
4	4905	1755
5	4988	1755

prune191.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	359	0	359
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	359	3	362

Error

Counts

362 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	0.1b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	0.8b	(.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

Compiler

Compiled 9221 to 2120 computations (77% saved)

regimes502.0ms (9.5%)

Accuracy

Total -0.0b remaining (-16.5%)

Threshold costs -0.0b (-16.5%)

Counts

117 → 1

Compiler

Compiled 8943 to 5757 computations (35.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end50.0ms (0.9%)

Compiler: Compiled 64 to 33 computations (48.4% saved)

Details

analyze1.0ms (0%)

sample1.6s (30.7%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series15.0ms (0.3%)

rewrite5.0ms (0.1%)

simplify66.0ms (1.2%)

prune28.0ms (0.5%)

localize6.0ms (0.1%)

series23.0ms (0.4%)

rewrite16.0ms (0.3%)

simplify114.0ms (2.1%)

prune126.0ms (2.4%)

localize11.0ms (0.2%)

series775.0ms (14.6%)

rewrite25.0ms (0.5%)

simplify124.0ms (2.3%)

prune157.0ms (3%)

localize9.0ms (0.2%)

series1.3s (24.5%)

rewrite19.0ms (0.4%)

simplify104.0ms (2%)

prune191.0ms (3.6%)

regimes502.0ms (9.5%)

simplify2.0ms (0%)

end50.0ms (0.9%)

Profiling